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Finding the Third Proportional to 20,164 and 31,326

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Solution

The third proportional to 20,164 and 31,326 is: 48,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 31,326 = 31,326 : x
  2. Step 2: Convert to fraction form
    20,164/31,326 = 31,326/x
  3. Step 3: Cross multiply
    20,164x = 31,326 × 31,326
  4. Step 4: Simplify right side
    20,164x = 981,318,276
  5. Step 5: Solve for x
    x = 981,318,276/20,164
  6. Step 6: Final answer
    x = 48,666.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.